12 citations · 24 across the 6 of their papers we have counts for
8 papers · 1 filter
A purely homotopy theoretic proof of the Blakers-Massey Theorem for -cubes
Brian A. Munson
Goodwillie's proof of the Blakers-Massey Theorem for -cubes relies on a lemma whose proof invokes transversality. The rest of his proof follows from general facts about cubes of…
Configuration space integrals and the cohomology of the space of homotopy string links
Robin Koytcheff, Brian A. Munson, Ismar Volic
Configuration space integrals have in recent years been used for studying the cohomology of spaces of (string) knots and links in for since they provide a map…
Introduction to the manifold calculus of Goodwillie-Weiss
Brian A. Munson
We present an introduction to the manifold calculus of functors, due to Goodwillie and Weiss. Our perspective focuses on the role the derivatives of a functor F play in this theory…
A stable range description of the space of link maps
Thomas G. Goodwillie, Brian A. Munson
We study the space of link maps, which are smooth maps from the disjoint union of manifolds P and Q to a manifold N such that the images of P and Q are disjoint. We give a range of…
Cosimplicial models for spaces of links
Brian A. Munson, Ismar Volic
We study the spaces of string links and homotopy string links in an arbitrary manifold using multivariable manifold calculus of functors. We construct multi-cosimplicial models for…
Multivariable manifold calculus of functors
Brian A. Munson, Ismar Volic
Manifold calculus of functors, due to M. Weiss, studies contravariant functors from the poset of open subsets of a smooth manifold to topological spaces. We introduce "multivariabl…
A Manifold Calculus Approach to Link Maps and the Linking Number
Brian Munson
We study the space of "link maps": the space of maps of a disjoint union of compact, closed manifolds P_1, . . ., P_k into a manifold N whose images are pairwise disjoint. We apply…
Embeddings in the 3/4 range
Brian A. Munson
We give a complete obstruction to turning an immersion of an m-dimensional manifold M in Euclidean n-space into an embedding when 3n>4m+4. It is a secondary obstruction, and exists…